Page 277 - Integrated Wireless Propagation Models
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M i c r o c e l l   P r e d i c t i o n   M  o d e l s    255

               where L, = The reflection path loss defined by
                                                     j(=)         4n
                              L, - -20 log 10 (x1  + x )+ x 1x 2 -- - 2 0 log  [ ]  dB   (4.5.5.3.3.2)
                                _
                                              2
                                                                  "
                                                    w w z      10  �
                                                      J
               where
                                     j  -41 + 110=     for= :s; 0.33
                                       -13.94+ 28=     for 0.33 <= ::;   0.42
                                j(=) =   -5.33 + 7.51 <X   for 0.42 <= ::;   0.71   (4.5.5.3.3.3)
                                            0          for= > 0.71

               where Ld = The diffraction path loss defined by

                                                                              ( 4.5.5.3.3.4)

                                  D � - [��][arc tan(�: ) + arc tan(��)-�]    (4.5.5.3.3.5)
                                   a



          4.6   Summary
               In this chapter, microcell models for both empirical and deterministic methods are dis­
               cussed and compared. The exponential growth of wireless system demands accurate
               and efficient propagation models. Although many researchers have been working hard
               during the past few decades in the area of field strength prediction, numerous problems
               remain to be solved. Many different prediction models have been proposed, and each
               of these has advantages and disadvantages and can be applied only in particular cir­
               cumstances. Also, the models depend to a great extent on the accuracy of building, ter­
               rain, and morphology databases.
                  The trade-off between the accuracy of prediction and speed is critical for microcell
               prediction. Microcells often have to be deployed very quickly, and the environment is
               much more complicated as microcells are situated in dense urban areas. In the microcell
               system, signal coverage is usually not a problem. Therefore, the major goal of microcell
               prediction models is to solve the potential interference from other pico- (in-building),
               micro-, and macrocells, making prediction a challenging task. Even with a very high
               resolution databases, propagation prediction is still affected by many other factors, such
               as street furniture (signs, lampposts, and so on) and by details of the antenna siting and
               its interaction with neighboring cells. As we discussed earlier, terrain, tree, water, and
               other morphologies have a great impact on the accuracy of the model as well.
                  The Lee microcell prediction model is a statistical model based on street layout with
               buildings and empirical data to predict signal strength. The basic principles and algo­
               rithms of the model are simple and easy to implement. Using the statistical approach, it
               requires only 2D. The empirical data received on the streets include the loss due to the
               rooftop diffraction phenomenon. Therefore, in the Lee model, the heights of buildings
               need not be considered. The other physical models do consider the heights of the build­
               ings, as shown in Sec. 4.5.3.
                  In Table 4.6.1, make comparisons in seven categories among selected models, some
               of which have been described in Chap. 3. The table gives us a general understanding of
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